Meshfree Methods

Author (s): Huerta, A., Belytschko, T. Fernández-Méndez, S. and Rabczuk, T.
Journal: Encyclopedia of Computational Mechanics

Volume: 1, Chapter 10
Pages: 279 – 309
Date: 2004

Abstract:
The aim of this chapter is to provide an in-depth presentation and survey of meshfree
particle methods. Several particle approximations are reviewed; the SPH method,
corrected gradient methods and the moving least squares (MLS) approximation. The
discrete equations are derived from a collocation scheme or a Galerkin method.
Special attention is paid to the treatment of essential boundary conditions. A
brief review of radial basis functions is given because they play a significant
role in meshfree methods. Finally, different approaches for modelling discontinuities
in meshfree methods are described.

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Bibtex:

@incollection{AH-HBFR:04,
	Author = {Huerta, Antonio and Belytschko, Ted and Fernandez-Mendez, Sonia and Rabczuk, Timon},
	Title = {Meshfree {M}ethods},
	Booktitle = {Encyclopedia of Computational Mechanics},
	Chapter = {10},
	Volume = {1 Fundamentals},
	Editor = {Erwin Stein and Rene de Borst and Thomas J. R. Hughes},
	Pages = {279--309},
	Publisher = {John Wiley \& Sons, Ltd.},
	Address = {Chichester},
	Year = {2004},
        Doi={10.1002/0470091355.ecm005},
        Url={https://onlinelibrary.wiley.com/doi/pdf/10.1002/0470091355.ecm005}
}